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carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

Description

We compute nonminimal resolution F of the carpet of type (a,b) over a finite prime field, Lift this to a resolution over ZZ, introduce the fine grading, grep the various blocks of the crucial map in the a-th strand, compute their determinants and return their product.

i1 : a=4,b=4

o1 = (4, 4)

o1 : Sequence
 
i2 : d=carpetDet(a,b)
 -- .00743584s elapsed
 -- .0150067s elapsed
(number Of blocks, 26)
 -- .000282203s elapsed
1
 -- .000282283s elapsed
1
 -- .000278643s elapsed
1
 -- .000305444s elapsed
1
 -- .000273363s elapsed
2
 -- .000275443s elapsed
 2
2
 -- .000316684s elapsed
 2
2
 -- .000293483s elapsed
 2
2 3
 -- .000288324s elapsed
 2
2 3
 -- .000259203s elapsed
 2
2 3
 -- .000284083s elapsed
 2
2
 -- .000243803s elapsed
 2
2
 -- .000243163s elapsed
2
 -- .000244403s elapsed
2
 -- .000243923s elapsed
 2
2
 -- .000238042s elapsed
 2
2
 -- .000284843s elapsed
 2
2 3
 -- .000255122s elapsed
 2
2 3
 -- .000262403s elapsed
 2
2 3
 -- .000297843s elapsed
 2
2
 -- .000252522s elapsed
 2
2
 -- .000232042s elapsed
2
 -- .000232602s elapsed
1
 -- .000241882s elapsed
1
 -- .000248842s elapsed
1
 -- .000276563s elapsed
1

o2 = 3131031158784
 
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet:

  • carpetDet(ZZ,ZZ)

For the programmer

The object carpetDet is a method function.

The source of this document is in K3Carpets.m2:1335:0.